20.500.12556/RUL-180466 Random walks and the electronic structure of graphene Results from the mathematical literature on random walks reveal a closed-form analytical expression for the $\pi$-energy and bond number of graphene in the simplest tight-binding model and its Hartree-Fock Hubbard extension. Closed-form expressions follow for all $\pi$ spectral moments of graphene. Bond numbers of carbon and boron nitride (BN) zigzag nanotubes are found as finite sums, with graphene and hexagonal boron nitride sheets as asymptotes. graph theory random walks graphene bond number teorija grafov slučajni sprehodi grafen število vezi true false true Angleški jezik Slovenski jezik Članek v reviji 2026-03-10 09:33:33 2026-03-10 09:33:37 2026-03-11 04:38:31 0000-00-00 00:00:00 2026 0 0 Str. 104103-1-104103-6 iss. 10 Vol. 164 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-01-01 519.17:54 0021-9606 10.1063/5.0319282 271072515 104103_1_5.0319282.pdf 104103_1_5.0319282.pdf 1 27AAFB6C42B1010BD2D721BED58D9C25 a034ea6ffd24c84c9377fe9c1f08e0f24d5478965137ae83295e62c99e4fafa5 bb458be1-1c5b-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=229889 https://pubs.aip.org/aip/jcp/article/164/10/104103/3382613/Random-walks-and-the-electronic-structure-of 1 69883eea-1c5b-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=229886 Fakulteta za matematiko in fiziko 0 0 0